Method of fast maximum search on the bearing landscape
DOI:
https://doi.org/10.3103/S0735272710010036Keywords:
MUSIC, ASPECT, ESPRIT, radio bearing problemAbstract
On the basis of analyzing the known maximum search algorithms in one and two dimensional cases a conclusion is made that most of them cannot be directly used in the radio bearing problems, since the analyzed dependence has complex landscape with a great number of maxima and minima. A method of using some algorithms for the radio bearing problem is suggested which allows making the bearing up to 10 times faster in the one dimensional and up to 1000 times faster in the two dimensional case if compared to linear search.
References
S. L. Marple, Jr., Digital Spectral Analysis with Applications (Prentice-Hall, New Jersey, 1987; Mir, Moscow, 1990).
Yu. B. Nechayev, S. А. Zotov, and Ye. S. Makarov, “Over-resolution algorithms in the problem of azimuthal radio bearing with the use of circular antenna arrays,” Antenny, No. 7, 29 (2007).
B. D. Rao and K. V. S. Hari, “Perfomance analysis of ROOT–MUSIC,” IEEE Trans. Acoust., Speech, Signal Process. 37, No. 12, 1939 (1989).
R. Roy and T. Kailath, “ESPRIT–estimation of signal parameters via rotational invariance techniques,” IEEE Trans. Acoust., Speech, Signal Process. 37, No. 7, 984 (1989).
H. Krim and M. Viberg, “Two Decades of Array Signal Processing Research: The Parametric Approach,” IEEE SP Magazine (Signal Processing) 13, No. 4, 67 (1996).
M. Wax and T. Kailath, “Detection of signals by information theoretic criteria,” IEEE Trans. Acoust., Speech, Signal Process. 33, No. 2, 387 (1985).
R. Badeau, B. David, and G. Richard, “Selecting the modeling order for the ESPRIT high resolution method: an alternative approach,” in Int. Conf. on Acoustics, Speech, and Signal Processing ICASSP’04, Montreal, Quebec, 17–21 May 2004 (Montreal, 2004).
Yu. B. Nechayev and S. А. Zotov, “Fast method of estimating the number of signals in the presence of Gaussian and non-Gaussian noise,” Antenny, Nos. 7–8, 104 (2008).
P. F. Gill, W. Murray, and М. H. Wright, Practical Optimization (Academic Press, San Diego, 1982; Mir, Moscow, 1985).
